New Prime Gaps Between 10^15 and 5 x 10^16

Bertil Nyman
SaabTech Systems AB
Uppsala
Sweden

Thomas R. Nicely
1113 Dandridge Drive
Lynchburg, VA 24501-2231
USA

Abstract:
The interval from 10^15 to 5 x 10^16 was searched for first
occurrence prime gaps and maximal prime gaps. One hundred and twenty-two
new first occurrences were found, including four new maximal gaps,
leaving 1048 as the smallest gap whose first occurrence remains uncertain.
The first occurrence of any prime gap of 1000 or greater was found
to be the maximal gap of 1132 following the prime 1693182318746371.
A maximal gap of 1184 follows the prime 43841547845541059. More
extensive tables of prime gaps are maintained at
http://www.trnicely.net.